Pith Number

pith:AQSGU2QS

pith:2011:AQSGU2QSGSUOXFO3HPJJ2MQIX4

not attested not anchored not stored refs pending

Deviation of ergodic averages for substitution dynamical systems with eigenvalues of modulus one

Alexander I. Bufetov, Pascal Hubert, Xavier Bressaud

arxiv:1106.2666 v1 · 2011-06-14 · math.DS · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQSGU2QSGSUOXFO3HPJJ2MQIX4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:46:33.084260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04246a6a1234a8eb95db3bd29d3208bf0d47761f9ecd897e550462885ea4bffd

Aliases

arxiv: 1106.2666 · arxiv_version: 1106.2666v1 · doi: 10.48550/arxiv.1106.2666 · pith_short_12: AQSGU2QSGSUO · pith_short_16: AQSGU2QSGSUOXFO3 · pith_short_8: AQSGU2QS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AQSGU2QSGSUOXFO3HPJJ2MQIX4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 04246a6a1234a8eb95db3bd29d3208bf0d47761f9ecd897e550462885ea4bffd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713bc931bcd91199b71949d3f3c383047ee0d00b5212e04056cb3b6ff44588b8",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-06-14T10:17:05Z",
    "title_canon_sha256": "8ed0fb37464b6b9489767ca9a5fae52383d5850aa35988f8cf485fb376092ddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2666",
    "kind": "arxiv",
    "version": 1
  }
}